ABSTRACT

Introducing engineering students to numerical analysis and computing, this book covers a range of topics suitable for the first three years of a four year undergraduate engineering degree. The teaching of computing to engineers is hampered by the lack of suitable problems for the students to tackle, so much effort has gone into making the problems in this book realistic and relevant, while at the same time solvable for undergraduates.

Taking a balanced approach to teaching computing and computer methods at the same time, this book satisfies the need to be able to use computers (using both formal languages such as Fortran and other applications such as Matlab and Microsoft Excel), and the need to be able to solve realistic engineering problems.

chapter 3|8 pages

Roots of Equations (Introduction)

chapter 4|10 pages

Roots of Equations (Bracket Methods)

chapter 5|8 pages

Roots of Equations (Open Methods)

chapter 6|8 pages

Numerical Integration (Trapezoidal Rule)

chapter 7|8 pages

Numerical Integration (Simpson’s Rule)

chapter 10|10 pages

Systems of Linear Equations (Introduction)

chapter 11|6 pages

Systems of Equations (Gauss-Seidel Method)

chapter 12|8 pages

9 LU decomposition

chapter 14|6 pages

7 Introduction

chapter 15|10 pages

Finite Difference Modelling (Introduction)

chapter 17|8 pages

1 Introduction

chapter 18|10 pages

9 Introduction

chapter 19|4 pages

9 Introduction

chapter 23|4 pages

5 Introduction

chapter 27|8 pages

7 Discrete variables

chapter 31|8 pages

Probability Distributions (Extreme Values)

chapter 33|10 pages

Probability Distributions (Multivariate)

chapter 34|8 pages

Monte Carlo Method (Introduction)

chapter 36|4 pages

Monte Carlo Method (Acceptance/Rejection)

chapter 37|10 pages

Monte Carlo Method (Metropolis Applications)

chapter 40|8 pages

Stochastic Modelling (Markov Chains)

chapter 41|12 pages

Stochastic Modelling (Time Series)

chapter 42|6 pages

Optimisation (Local Optimisation)

chapter 43|8 pages

Optimisation (Global Optimisation)

chapter 44|10 pages

Linear Introduction

chapter 45|10 pages

Spectral Analysis (Introduction)

chapter 47|8 pages

Spectral Analysis (Practical Aspects I)

chapter 48|8 pages

Spectral Analysis (Practical Aspects II)